Details

sample306.0ms

Algorithm

intervals

Results

102.0ms	60×	body	1280	valid
37.0ms	39×	body	640	valid
23.0ms	131×	body	80	valid
11.0ms	256×	pre	80	true
10.0ms	18×	body	320	valid
4.0ms	8×	body	160	valid

simplify26.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
5	24
4	23
3	21
2	18
1	16
0	9

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1 (* e (cos v))))
0.1b	(* e (sin v))
0.1b	(* e (cos v))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`associate-r` `associate-l`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 62

Calls

3 calls:

44.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
17.0ms	(* e (sin v))
19.0ms	(* e (cos v))

series233.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
57.0ms	(* e (sin v))
67.0ms	(* e (cos v))

simplify1.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	2004
3	2004
2	839
1	279
0	114

prune689.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.1b	(* (/ e (- 1 (* (* e (cos v)) (* e (cos v))))) (sin v))
0.2b	(* (* e (cos v)) (* e (cos v)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
30×	`add-sqr-sqrt`
28×	`associate-l`
25×	`add-cbrt-cube` `add-exp-log`
21×	`*-un-lft-identity`
20×	`pow-prod-down`
18×	`add-cube-cbrt`
16×	`times-frac`
12×	`prod-exp` `cbrt-unprod`
10×	`associate-r`
6×	`difference-of-squares`
4×	`pow-sqr` `*-commutative` `pow-prod-up` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-plus` `associate-/r/`
1×	`pow2` `cbrt-undiv` `flip3--` `swap-sqr` `div-exp` `associate-*l/` `div-inv` `flip--`

Counts

4 → 114

Calls

4 calls:

15.0ms	(* e (cos v))
15.0ms	(* e (cos v))
40.0ms	(* (/ e (- 1 (* (* e (cos v)) (* e (cos v))))) (sin v))
49.0ms	(* (* e (cos v)) (* e (cos v)))

series390.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* e (cos v))
57.0ms	(* e (cos v))
193.0ms	(* (/ e (- 1 (* (* e (cos v)) (* e (cos v))))) (sin v))
80.0ms	(* (* e (cos v)) (* e (cos v)))

simplify1.3s

Counts

126 → 126

Iterations

Iter	Nodes
done	2000
3	2000
2	1401
1	400
0	159

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.1b	(* e (cos v))
0.1b	(/ (+ 1 (* e (cos v))) (sin v))
0.2b	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
57×	`add-sqr-sqrt`
55×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
12×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 120

Calls

3 calls:

10.0ms	(* e (cos v))
21.0ms	(/ (+ 1 (* e (cos v))) (sin v))
19.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

series253.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* e (cos v))
87.0ms	(/ (+ 1 (* e (cos v))) (sin v))
98.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

simplify1.2s

Counts

129 → 129

Iterations

Iter	Nodes
done	2014
3	2014
2	1631
1	545
0	216

prune1.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* e (cos v)) (* e (cos v)))
0.2b	(* (* e (cos v)) (* e (cos v)))
0.2b	(* (/ (sqrt e) (sqrt (- 1 (* (* e (cos v)) (* e (cos v)))))) (sin v))
0.3b	(* (/ (sqrt e) (sqrt (- 1 (* (* e (cos v)) (* e (cos v)))))) (* (/ (sqrt e) (sqrt (- 1 (* (* e (cos v)) (* e (cos v)))))) (sin v)))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

112×	`sqrt-prod`
110×	`associate-l`
100×	`times-frac`
89×	`add-sqr-sqrt` `pow1`
75×	`*-un-lft-identity`
63×	`add-cube-cbrt`
54×	`add-cbrt-cube` `add-exp-log`
38×	`pow-prod-down`
28×	`prod-exp` `cbrt-unprod`
24×	`difference-of-squares`
8×	`pow-sqr` `pow-prod-up`
6×	`cbrt-undiv` `div-exp` `associate-r`
5×	`unswap-sqr`
4×	`pow-plus` `sqrt-div` `associate-l/` `associate-/r/` `-commutative` `insert-posit16` `add-log-exp`
2×	`pow2` `flip3--` `swap-sqr` `div-inv` `flip--`
1×	`frac-times` `associate-*r/`

Counts

4 → 228

Calls

4 calls:

40.0ms	(* (* e (cos v)) (* e (cos v)))
35.0ms	(* (* e (cos v)) (* e (cos v)))
45.0ms	(* (/ (sqrt e) (sqrt (- 1 (* (* e (cos v)) (* e (cos v)))))) (sin v))
76.0ms	(* (/ (sqrt e) (sqrt (- 1 (* (* e (cos v)) (* e (cos v)))))) (* (/ (sqrt e) (sqrt (- 1 (* (* e (cos v)) (* e (cos v)))))) (sin v)))

series509.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (* e (cos v)) (* e (cos v)))
84.0ms	(* (* e (cos v)) (* e (cos v)))
219.0ms	(* (/ (sqrt e) (sqrt (- 1 (* (* e (cos v)) (* e (cos v)))))) (sin v))
123.0ms	(* (/ (sqrt e) (sqrt (- 1 (* (* e (cos v)) (* e (cos v)))))) (* (/ (sqrt e) (sqrt (- 1 (* (* e (cos v)) (* e (cos v)))))) (sin v)))

simplify1.2s

Counts

240 → 240

Iterations

Iter	Nodes
done	2003
2	2003
1	858
0	295

prune3.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes148.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.0s	1518×	body	1280	valid
1.1s	1230×	body	640	valid
847.0ms	4268×	body	80	valid
764.0ms	8000×	pre	80	true
406.0ms	671×	body	320	valid
193.0ms	313×	body	160	valid